Finding the Fourth Proportional to 1,059.61, 1,460.72 and 686.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.61 : 1,460.72 = 686.51 : x
2. Step 2: Convert to fraction form
   1,059.61/1,460.72 = 686.51/x
3. Step 3: Cross multiply
   1,059.61x = 1,460.72 × 686.51
4. Step 4: Simplify right side
   1,059.61x = 1,002,788.15
5. Step 5: Solve for x
   x = 1,002,788.15/1,059.61
6. Step 6: Final answer
   x = 946.37